Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bd |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.3780628682375E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-106698243,-424212949042] |
[a1,a2,a3,a4,a6] |
Generators |
[15282591746:1924262487000:704969] |
Generators of the group modulo torsion |
j |
3825131988299044/961875 |
j-invariant |
L |
8.8064828395 |
L(r)(E,1)/r! |
Ω |
0.046974292123126 |
Real period |
R |
11.717157448014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320z4 6840t3 |
Quadratic twists by: -3 -19 |